Exercise 4 | Wiskunde op Tilburg University

Antwoord 1 correct

Correct

Antwoord 2 optie

$z(\frac{4}{3}\sqrt[3]{36},\sqrt[3]{36})=6\sqrt[3]{36}+4$

Antwoord 2 correct

Fout

Antwoord 3 optie

$z(\frac{3}{4}\sqrt[3]{85\frac{1}{3}},\sqrt[3]{85\frac{1}{3}})=4\frac{1}{4}\sqrt[3]{85\frac{1}{3}}+4$

Antwoord 3 correct

Fout

Antwoord 4 optie

None of the other answers is correct.

Antwoord 4 correct

Fout

Antwoord 1 optie

$z(4,3)=22$

Antwoord 1 feedback

Correct: The First-order condition gives

$\dfrac{3}{2}=\dfrac{2xy}{x^2}=\dfrac{2y}{x}$ what results in

$x=\frac{4}{3}y$ . Plugging this into the restriction gives

$(\frac{4}{3}y)^2y=48$ , which results in

$y=3$ with

$x=4$ .

$z(4,3)=22$ . There are no boundaries. Therefore, we take (for instance)

$z(2,12)=34$ and

$z(6,1\frac{1}{3})=24\frac{2}{3}$ . From this it follows that

$z(4,3)=22$ is the minimum.

Go on.

Antwoord 2 feedback

Wrong:

$(\frac{4}{3}y)^2\neq \frac{4}{3}y^2$ .

Try again.

Antwoord 3 feedback

Wrong:

$3x=4y$ does not result in

$x=\frac{3}{4}y$ .

Try again.

Antwoord 4 feedback

Wrong: The correct answer is among them.

Try again.